The g(x)=8vert x-15vert -30 is a transformation of the parent function p(x)=vert xvert Which of the following correctly describes the transformation of function p that generates function g? A p is translated 15 units right, then has a vertical stretch by a factor of 8 and then is translated 30 units down. B p is translated 15 units left, then has a vertical stretch by a factor of 8 and then is translated 30 units up. C p is translated 30 units down, then has a vertical shrink by a factor of 8, and then is translated 15 units right. D p has a vertical shrink by a factor of 8, then is trar lated 15 units down, and then is translated 30 units left. translated

To determine the transformation of the parent function $p(x)=\vert x\vert$ that generates the function $g(x)=8\vert x-15\vert -30$, we need to analyze the given function.<br /><br />The given function is $g(x)=8\vert x-15\vert -30$.<br /><br />Comparing this with the parent function $p(x)=\vert x\vert$, we can see that the function $g(x)$ has the following transformations:<br /><br />1. The absolute value function is shifted 15 units to the right by replacing $x$ with $(x-15)$.<br />2. The absolute value function is vertically stretched by a factor of 8 by multiplying the absolute value by 8.<br />3. The function is shifted 30 units down by subtracting 30 from the function.<br /><br />Therefore, the correct answer is:<br /><br />A. $p$ is translated 15 units right, then has a vertical stretch by a factor of 8 and then is translated 30 units down.